Pith Number

pith:GGRTXWQ2

pith:2021:GGRTXWQ2QIALBHSLHRABMDECP6

not attested not anchored not stored refs pending

Enabling equivariance for arbitrary Lie groups

Lachlan Ewen MacDonald, Sameera Ramasinghe, Simon Lucey

arxiv:2111.08251 v2 · 2021-11-16 · cs.CV · cs.LG · cs.NE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGRTXWQ2QIALBHSLHRABMDECP6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T04:09:59.262050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31a33bda1a8200b09e4b3c40160c827fb60213c84734f357e08d2d5911c790b7

Aliases

arxiv: 2111.08251 · arxiv_version: 2111.08251v2 · doi: 10.48550/arxiv.2111.08251 · pith_short_12: GGRTXWQ2QIAL · pith_short_16: GGRTXWQ2QIALBHSL · pith_short_8: GGRTXWQ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GGRTXWQ2QIALBHSLHRABMDECP6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 31a33bda1a8200b09e4b3c40160c827fb60213c84734f357e08d2d5911c790b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0f95acf62c0100adb7d3d73fcd726a89f09d87f1ecb5f823509471fd92aad4",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2021-11-16T06:23:44Z",
    "title_canon_sha256": "1999cc55fa0c70eaa6ce1abab414ed90c335b50f00e888dff052b241222df1a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08251",
    "kind": "arxiv",
    "version": 2
  }
}